An equilateral triangle DEF has sides of x cm and height h cm. show that the area of ΔDEF is ((√3)/4)x^2 cm^2 Please show the full working.

An equilateral triangle DEF has sides of x cm and height h cm. show that the area of ΔDEF is ((√3)/4)x^2 cm^2 Please show the full working.

Look at each statement, and decide whether or not it is always true. 1)The diagonals of a rectangle are the same length 2) The diagonals of a kite are the same length 3)The diagonals...

In the following expressions, all variables represent length: abc 1/2dh 5d2 2/3sfj2 2xy+p2 3ed-4k2m A) Make a list of those that might apply to an area and...

The third bedroom is an 8 ½ ft by 13 ft rectangle. On each 13 foot wall there is a window that is 3 feet 8 inches wide. The door is on an 8 ½ ft wall and measures 3 feet wide. You will be putting...

Please help me find an answer to this problem with step by step explanation. thank you

Hello, I need help with the following two questions: 1) Construct triangle ABC such that BC is of length 1 centimetre, A=100degrees, B=60degrees, C=20degrees. Let D be the midpoint...

QUESTION: Given the following brief by a candy manufacturing company: We need a container for our new candy called ‘Swishers’. It must have a volume of 1200 cm3. Please submit...

In a strong, storm a hydro pole snapped at the base and fell against a house wall. If the top of the pole was resting 4.8 m above the ground and the bottom of the pole was 12.4 m from the house, how...

QUESTION ONE: Investigate different polygons and see if you can find a relationship between the number of sides and the number of diagonals. QUESTION TWO: You are given the following...

Find the volume of a rectangular prism that has a length of 20 cm, a width of 14 cm and a height of 6 cm. Give your answer to 1 decimal place if necessary. Find the...

find the area of the ellipse (x+2y)2 + (3x+4y)2 =1

You have a rectangle who's area is 9 3/8 square feet. You already know that the length is 3 square feet. How many square feet is the width of this rectangle?

The barriers are 2m long

Find the areas of the shaded portions of the figures below. Give answers to 2 decimal places if necessary. A)Circle in a square (shaded part) with sides of W=10cm and L=10cm B)...

In a storm a hydro pole snapped and fell against a house wall. If the top of the pole was resting 4.8 m above the ground and the bottom of the pole was 12.4 m from the house, how long was the hydro...

Find the area and perimeter of each of the following objects. Give answers to 2 decimal places if needed. A) A rectangle, 3.7 cm by 8.4 cm B) A circle with a radius of 5 m C) A parallelogram...

³the diagram Shows a right-angles triangular prism. ∠ACB=90º and AD=50cm and FD=40cm if the volume of the prism is 30000cm³, calculate the a) area of base EFD b) length...

A circular plate has a circumference of 8 pi inches What is the area of the plate?

I need to fin the perpinciular height of the pyramid. i found the volume at it is 592.703

An interior designer is hired to paint an argyle pattern on a wall that 19 feet long and 10 feet high. She determines that she will need 4 rows of 6 rhombuses each with no partial shapes.Determine...